Hilbert space

Hilbert space

English

Etymology

Named after German mathematician David Hilbert (1862–1943).

Noun

Hilbert space (plural Hilbert spaces)

1. (functional analysis) A generalized Euclidean space in which mathematical functions take the place of points; crucial to the understanding of quantum mechanics and other applications.

Hypernyms

• inner product space

Hyponyms

• Euclidean space
• projective Hilbert space

Derived terms

• isohilbert space
• projective Hilbert space

Related terms

• linear algebra
• vector space
• inner product space
• Banach space
• pre-Hilbert space
• metric space
• normed space
• Fréchet space
• topological vector space

Translations

a space in mathematics

Afrikaans: Hilbert-ruimte Azerbaijani: Hilbert fəzası Chinese: Cantonese: 希爾伯特空間, 希尔伯特空间 (hei1 ji5 baak3 dak6 hung1 gaan1) Mandarin: 希爾伯特空間／希尔伯特空间 (Xī'ěrbótè kōngjiān) Danish: Hilbertrum n Finnish: Hilbertin avaruus French: espace de Hilbert m German: Hilbertraum m, Hilbert-Raum Hungarian: Hilbert-tér (hu) Italian: spazio di Hilbert, spazio hilbertiano Japanese: ヒルベルト空間 (ja) (Hiruberuto-kūkan) Kazakh: гильберттік кеңістік (gilberttık keñıstık) Korean: 힐베르트 공간 (hilbereuteu gonggan) Portuguese: espaço de Hilbert m Romanian: spațiu Hilbert n Russian: ги́льбертово простра́нство n (gílʹbertovo prostránstvo) Swedish: Hilbertrum (sv) n

Further reading

• Hilbert space on Wikipedia.Wikipedia